EduSahara™ Worksheet

Question 1

1.

In the given figure, △HIJ is right angled at I. If IJ = 12 cm and ∠J = 30°, find HI and HJ

(i)
4

4
√

3

cm

&

24

cm
(ii)
4

4
√

3

cm

&

8

√

3

cm
(iii)
4

√

3

cm

&

8

√

3

cm
(iv)
4

4
√

3

cm

&

26

cm
(v)
4

cm

&

26

cm

Question 2

2.

In the given figure, △GHI is right angled at H. If HI = 9 cm and ∠I = 45°, find GH and GI

(i)
7

cm

&

20

cm
(ii)
9

cm

&

9

√

2

cm
(iii)
10

cm

&

9

√

2

cm
(iv)
10

cm

&

18

cm
(v)
10

cm

&

20

cm

Question 3

3.

In the given figure, △FGH is right angled at G. If GH = 10 cm and ∠H = 60°, find FG and FH

(i)
10

4
√

3

cm

&

21

cm
(ii)
10

cm

&

21

cm
(iii)
10

√

3

cm

&

20

cm
(iv)
10

4
√

3

cm

&

19

cm
(v)
10

4
√

3

cm

&

20

cm

Question 4

4.

In the given figure, △FHG is right angled at G. If FG = 8 cm and ∠H = 30°, find FH

(i)

15

cm
(ii)

17

cm
(iii)

13

cm
(iv)

16

cm
(v)

18

cm

Question 5

5.

In the given figure, △BDC is right angled at C. If BC = 8 cm and ∠D = 30°, find CD

(i)

24

cm
(ii)

8

√

18

cm
(iii)

8

√

3

cm
(iv)

12

√

2

cm
(v)

8

cm

Question 6

6.

In the given figure, △EGF is right angled at F. If EF = 9 cm and ∠G = 30°, find EH

(i)

17
4

cm
(ii)

7
2

cm
(iii)

9
2

cm
(iv)

5

cm
(v)

11
2

cm

Question 7

7.

In the given figure, △DFE is right angled at E. If DE = 7 cm and ∠F = 30°, find FG

(i)

23
2

cm
(ii)

21

cm
(iii)

19
2

cm
(iv)

21
4

cm
(v)

21
2

cm

Question 8

8.

In the given figure, △EGF is right angled at F. If EF = 13 cm and ∠G = 45°, find EG

(i)

13
2

√

12

cm
(ii)

13

cm
(iii)

26

cm
(iv)

13

√

2

cm
(v)

26

√

3

cm

Question 9

9.

In the given figure, △GIH is right angled at H. If GH = 16 cm and ∠I = 45°, find HI

(i)

15

cm
(ii)

18

cm
(iii)

17

cm
(iv)

16

cm
(v)

14

cm

Question 10

10.

In the given figure, △DFE is right angled at E. If DE = 13 cm and ∠F = 45°, find DG

(i)

13

cm
(ii)

13
2

cm
(iii)

13
4

√

12

cm
(iv)

13
2

√

2

cm
(v)

13

√

3

cm

Question 11

11.

In the given figure, △FHG is right angled at G. If FG = 16 cm and ∠H = 45°, find HI

(i)

4

√

12

cm
(ii)

8

√

2

cm
(iii)

8

cm
(iv)

16

√

3

cm
(v)

16

cm

Question 12

12.

In the given figure, △EGF is right angled at F. If EF = 21 cm and ∠G = 60°, find EG

(i)

14

√

18

cm
(ii)

14

cm
(iii)

42

cm
(iv)

14

√

3

cm
(v)

21

√

2

cm

Question 13

13.

In the given figure, △DFE is right angled at E. If DE = 27 cm and ∠F = 60°, find EF

(i)

9

√

18

cm
(ii)

27

cm
(iii)

9

cm
(iv)

27
2

√

2

cm
(v)

9

√

3

cm

Question 14

14.

In the given figure, △ACB is right angled at B. If AB = 22 cm and ∠C = 60°, find AD

(i)

11

cm
(ii)

11

√

3

cm
(iii)

11

√

18

cm
(iv)

33

cm
(v)

33
2

√

2

cm

Question 15

15.

In the given figure, △IKJ is right angled at J. If IJ = 22 cm and ∠K = 60°, find KL

(i)

11

cm
(ii)

11
3

cm
(iii)

11
3

√

3

cm
(iv)

11
2

√

2

cm
(v)

11
3

√

18

cm

Question 16

16.

A chord of 12 cm subtends an angle of 90° at the centre. Calculate its shortest distance from the centre

(i)

8.0 cm
(ii)

5.0 cm
(iii)

4.0 cm
(iv)

7.0 cm
(v)

6.0 cm

Question 17

17.

An equilateral triangle is inscribed in a circle of radius 9 cm. Find the length of its sides.

(i)

27
2

√

2

cm
(ii)

9

cm
(iii)

9

√

3

cm
(iv)

27

cm
(v)

9

√

18

cm

Question 18

18.

In the given figure, △BCD is a right angle triangle with ∠D = 90° and CD = 15 cm. Q is the mid-point of BD. Find QD

(i)

15
4

√

2

cm
(ii)

15
2

cm
(iii)

5
2

√

18

cm
(iv)

5
2

√

3

cm
(v)

5
2

cm

Question 19

19.

In the given figure, △EFG is a right angle triangle with ∠G = 90° and FG = 14 cm. P is the mid-point of EG. Find ∠PFG using tables.

(i)

18 ° 6 '
(ii)

16 ° 6 '
(iii)

13 ° 6 '
(iv)

19 ° 6 '
(v)

14 ° 6 '

Question 20

20.

In the given figure, △FGH is a right angle triangle with ∠H = 90° and GH = 13 cm. S is the mid-point of FH. Find the length of the altitude from H to FG.

(i)

7

cm
(ii)

11
2

cm
(iii)

13
2

cm
(iv)

15
2

cm
(v)

25
4

cm

Question 21

21.

In the given figure, △JKL is a right angle triangle with ∠L = 90° and KL = 13 cm. Q is the mid-point of JL. Find ∠QKJ using tables.

(i)

10 ° 54 '
(ii)

11 ° 54 '
(iii)

13 ° 54 '
(iv)

16 ° 54 '
(v)

15 ° 54 '

Question 22

22.

In the given figure, △FGH is a right angle triangle with ∠H = 90° and GH = 15 cm. Q is the mid-point of FH. Find QH

(i)

29
4

cm
(ii)

15
2

cm
(iii)

13
2

cm
(iv)

8

cm
(v)

17
2

cm

Question 23

23.

In the given figure, △BCD is a right angle triangle with ∠D = 90° and CD = 14 cm. P is the mid-point of BD. Find ∠PCD using tables.

(i)

26 ° 34 '
(ii)

28 ° 34 '
(iii)

24 ° 34 '
(iv)

23 ° 34 '
(v)

29 ° 34 '

Question 24

24.

In the given figure, △JKL is a right angle triangle with ∠L = 90° and KL = 16 cm. R is the mid-point of JL. Find the length of the altitude from L to JK.

(i)

16

√

3

cm
(ii)

8

cm
(iii)

4

√

12

cm
(iv)

8

√

2

cm
(v)

16

cm

Question 25

25.

In the given figure, △CDE is a right angle triangle with ∠E = 90° and DE = 15 cm. P is the mid-point of CE. Find ∠PDC using tables.

(i)

20 ° 26 '
(ii)

16 ° 26 '
(iii)

21 ° 26 '
(iv)

18 ° 26 '
(v)

15 ° 26 '

Question 26

26.

In the given figure, △ABC is a right angle triangle with ∠C = 90° and BC = 14 cm. P is the mid-point of AC. Find PC

(i)

21
2

√

2

cm
(ii)

7

cm
(iii)

7

√

3

cm
(iv)

21

cm
(v)

7

√

18

cm

Question 27

27.

In the given figure, △BCD is a right angle triangle with ∠D = 90° and CD = 16 cm. Q is the mid-point of BD. Find ∠QCD using tables.

(i)

38 ° 53 '
(ii)

37 ° 53 '
(iii)

42 ° 53 '
(iv)

43 ° 53 '
(v)

40 ° 53 '

Question 28

28.

In the given figure, △EFG is a right angle triangle with ∠G = 90° and FG = 16 cm. S is the mid-point of EG. Find the length of the altitude from G to EF.